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342000 = 24325319
BaseRepresentation
bin1010011011111110000
3122101010200
41103133300
541421000
611155200
72623041
oct1233760
9571120
10342000
11213a4a
12145b00
13bc889
148c8c8
156b500
hex537f0

342000 has 120 divisors (see below), whose sum is σ = 1257360. Its totient is φ = 86400.

The previous prime is 341993. The next prime is 342037. The reversal of 342000 is 243.

Adding to 342000 its reverse (243), we get a palindrome (342243).

342000 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

342000 is an undulating number in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17991 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (10478).

2342000 is an apocalyptic number.

342000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628680).

342000 is an abundant number, since it is smaller than the sum of its proper divisors (915360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342000 is a wasteful number, since it uses less digits than its factorization.

342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 342000 is about 584.8076606885. The cubic root of 342000 is about 69.9319065718.

The spelling of 342000 in words is "three hundred forty-two thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 36 38 40 45 48 50 57 60 72 75 76 80 90 95 100 114 120 125 144 150 152 171 180 190 200 225 228 240 250 285 300 304 342 360 375 380 400 450 456 475 500 570 600 684 720 750 760 855 900 912 950 1000 1125 1140 1200 1368 1425 1500 1520 1710 1800 1900 2000 2250 2280 2375 2736 2850 3000 3420 3600 3800 4275 4500 4560 4750 5700 6000 6840 7125 7600 8550 9000 9500 11400 13680 14250 17100 18000 19000 21375 22800 28500 34200 38000 42750 57000 68400 85500 114000 171000 342000